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Finding the Third Proportional to 446,280 and 981,012

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Solution

The third proportional to 446,280 and 981,012 is: 2,156,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,280 : 981,012 = 981,012 : x
  2. Step 2: Convert to fraction form
    446,280/981,012 = 981,012/x
  3. Step 3: Cross multiply
    446,280x = 981,012 × 981,012
  4. Step 4: Simplify right side
    446,280x = 962,384,544,144
  5. Step 5: Solve for x
    x = 962,384,544,144/446,280
  6. Step 6: Final answer
    x = 2,156,459.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.